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TABLE3.DOC
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1986-04-11
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The following table should be printed out in 132-column format.
TABLE 3 - Comparison of code accuracy and efficiency for different
expressions for the parameter POWER in the step size adjuster.
________________________________________________________________________________________
RKF-4 RKV-5 RKV-7
________________________________________________________________________________________
example: 1 2 1 2 1 2
(at x=1) (at x=12) (at x=1) (at x=12) (at x=1) (at x=12)
y(1)
________________________________________________________________________________________
with POWER [.567E-08] [1.22E-10] [.138E-08] [6.95E-12] [.276E-08] [1.92E-10]
= (1/p+1) (3216) (2928) (2008) (2640) (1053) (1872)
________________________________________________________________________________________
with POWER [.713E-08] [1.54E-10] [.165E-08] [8.68E-12] [.316E-08] [1.92E-10]
= (1/p) (3072) (2844) (1968) (2472) (1053) (1703)
________________________________________________________________________________________
- The figures in square brackets [] are absolute values of the relative global errors
- The figures in round brackets () are total number of function evaluations taken to
reach specified x value from the starting point.
(TOLA = 0, TOLR = 1.E-09 for example 1 and 1.E-10 for example 2)
reach specified x value from the starting point.
(TOLA = 0, TOLR = 1.E-09 for